Question
Question: The product of n positive numbers is 1, then their sum is a positive integer and is –...
The product of n positive numbers is 1, then their sum is a positive integer and is –
A
Equal to 1
B
Equal to n + n2
C
Divisible by n
D
Never less than n.
Answer
Never less than n.
Explanation
Solution
a1, a2..........an are 'n' nos Ž a1.a2 – a3.......an = 1
AM ³ GM Ž na1+a2+….an ³ 11/n
a1 + a2 + ........an ³ n